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Finding the Fourth Proportional to 16,202.87, 24,306.33 and 6,340.87

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Solution

The fourth proportional to 16,202.87, 24,306.33 and 6,340.87 is: 9,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.87 : 24,306.33 = 6,340.87 : x
  2. Step 2: Convert to fraction form
    16,202.87/24,306.33 = 6,340.87/x
  3. Step 3: Cross multiply
    16,202.87x = 24,306.33 × 6,340.87
  4. Step 4: Simplify right side
    16,202.87x = 154,123,247.00
  5. Step 5: Solve for x
    x = 154,123,247.00/16,202.87
  6. Step 6: Final answer
    x = 9,512.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.